Question

6.1 ft.
1.3 ft.
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = feet

Explanation:

Step1: Identify the formula

We use the Pythagorean theorem for a right triangle, which is \( c = \sqrt{a^2 + b^2} \), where \( a = 1.3 \) ft, \( b = 6.1 \) ft.

Step2: Calculate \( a^2 \) and \( b^2 \)

\( a^2=(1.3)^2 = 1.69 \), \( b^2=(6.1)^2 = 37.21 \)

Step3: Sum the squares

\( a^2 + b^2=1.69 + 37.21 = 38.9 \)

Step4: Take the square root

\( c=\sqrt{38.9}\approx6.2 \) (rounded to the nearest tenth)

Answer:

\( 6.2 \)